XAUSDORF-BEZIKOVICH VA MINKOVSKIY-BULIGAN O‘LCHOVLARI ASOSIDA GEOMETIRIK FRAKTALLARNI O‘LCHASH

Authors

  • J.S. Jabbarov
  • G‘.K. Baxriddinov

Keywords:

Fraktal, fraktal o‘lchov, Topologik o‘lchov, Braner o‘lchovi, Xausdorf-Bezikovich o‘lchovi, Minkovskiy-Buligan o‘lchovi, Kox egri chizig‘i, Given (shlyapa) egri chizig‘i, Kontor to‘plam, Serpin gilami, xaos

Abstract

Mazkur maqola fraktal o‘lchovlarning istiqboldagi o‘rnini o‘rganishga bag‘ishlangan. Fraktal geometrik ob’ektlarni keng doiradagi sinflarining kompyuterli modellashtirishning turli xil usullari batafsil bayoni qilingan, hamda virtual va real fraktallarning fraktal o‘lchamini matematik tahlilining asosiy usullari ifodalab berilgan. Maqolada fraktallar tushunchasi, xususiyatlari, B.Mandelbrot tarifi, Xausdorf-Bezikovich o‘lchovi, Minkovskiy-Buligan o‘lchovi, topologik o‘lchov, fraktal o‘lchovi tushunchasi bilan Yevklid geometriyasidagi o‘lchov orasidagi farqlar ta’riflar yordamida asoslab berilgan.

References

1. Mandelbrot B.B. Les Objects Fractals: Forme, Hasard et Dimension.- Paris: Flammarion, 1975, 1984, 1989, 1995, 2010;

2. Zaynidinov H.N., Anarova Sh.A., Jabbarov J.S. Determination of Dimensions of Complex Geometric Objects with Fractal Structure. // 13th International Conference on Intelligent Human Computer Interaction 21-22 December-2021. 437-447 p.

3. Jabbarov J.S. Kubik splayn yordamida matematik funksiyalarni interpolyatsiyalash xatoliklarini kamaytiruvchi algoritim va dasturiy vositalar. // Innovatsion va zamonaviy axborot texnologiyalarini ta’lim, fan va boshqaruv sohalarida qo‘llash istiqbollari 2020 yil 14-15 may № 5. 200 b. 120-122 b.

4. Jabbarov J.S. Fraktal o‘lchov asosida geometirik shakillarning o‘lchovlari. // Innovatsion yondoshuvlar asosida milliy talim tizimini takomillashtirish. Halqaro ilmiy- amaliy konferensiya 2021 yil 23 aprel 419 b. 179-182 b.

5. Jabbarov J.S. Inson to‘r pardasidagi qon tomir tizimlarining fraktal tuzilishi va fraktal o‘lchovi. // Yangi O‘zbekistonda islohotlarni amalga oshirishda zamonaviy axborot-kommunikatsiya texnologiyalaridan foydalanish. Xalqaro ilmiy – amaliy konferensiya 2021-yil. 27-oktyabr 456 b. 98-101 b.

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Published

2024-11-25

How to Cite

XAUSDORF-BEZIKOVICH VA MINKOVSKIY-BULIGAN O‘LCHOVLARI ASOSIDA GEOMETIRIK FRAKTALLARNI O‘LCHASH. (2024). Journal of Academic Research and Trends in Educational Sciences, 310-313. https://ijournal.uz/index.php/jartes/article/view/1639

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